GEOMETRIC INEQUALITIES FOR CERTAIN SUBMANIFOLDS IN A PINCHED RIEMANNIAN MANIFOLD

被引：0

作者：

谢纳庆 ^{[1
]}

许洪伟 ^{[2
]}

机构：

[1] Institute of Mathematics,Fudan University

[2] Center of Mathematical Sciences,Zhejiang University

来源：

Acta Mathematica Scientia | 2007年 / 03期

关键词：

Submanifolds; second fundamental form; pinched Riemannian manifold;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

This article gives some geometric inequalities for a submanifold with parallel second fundamental form in a pinched Riemannian manifold and the distribution for the square norm of its second fundamental form.

引用

页码：611 / 618

页数：8

共 50 条

[1] Geometric inequalities for certain submanifolds in a pinched Riemannian manifold
Xie, Naqing
Xu, Hongwei
ACTA MATHEMATICA SCIENTIA, 2007, 27 (03) : 611 - 618
[2] SUBMANIFOLDS OF SUBMANIFOLDS OF A RIEMANNIAN MANIFOLD
CHEN, B
YANO, K
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1971, 23 (03) : 548 - +
[3] Biharmonic Submanifolds in δ-Pinched Riemannian Manifolds
Jian Cheng LIULi DU College of Mathematics and Information ScienceNorthwest Normal UniversityGansu PRChinaDepartment of MathematicsDingxi Teachers CollegeGansu PRChina
数学研究与评论, 2010, 30 (05) : 891 - 896
[4] Biharmonic Submanifolds in δ-Pinched Riemannian Manifolds
Jian Cheng LIU1
2.Department of Mathematics
Journal of Mathematical Research with Applications, 2010, (05) : 891 - 896
[5] Geometric inequalities outside a convex set in a Riemannian manifold
Seo, Keomkyo
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2007, 47 (03): : 657 - 664
[6] SUBMANIFOLDS OF PRODUCT RIEMANNIAN MANIFOLD
徐森林
倪轶龙
Acta Mathematica Scientia, 2000, (02) : 213 - 218
[7] Willmore submanifolds in a Riemannian manifold
Hu, Z
Li, H
PROCEEDINGS OF THE WORKSHOP ON CONTEMPORARY GEOMETRY AND RELATED TOPICS, 2004, : 251 - 275
[8] Submanifolds of product Riemannian manifold
Xu, SL
Ni, YL
ACTA MATHEMATICA SCIENTIA, 2000, 20 (02) : 213 - 218
[9] BIHARMONIC SUBMANIFOLDS IN A RIEMANNIAN MANIFOLD
Koiso, Norihito
Urakawa, Hajime
OSAKA JOURNAL OF MATHEMATICS, 2018, 55 (02) : 325 - 346
[10] Chen inequalities for submanifolds of a Riemannian manifold of nearly quasi-constant curvature
Ozgur, Cihan
De, Avik
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2013, 82 (02): : 439 - 450

← 1 2 3 4 5 →